2 papers
math.DS2019
Identifying Invariant Ergodic Subsets and Barriers to Mixing by Cutting and Shuffling: Study in a Bi-rotated Hemisphere
Thomas F. Lynn, Julio M. Ottino, Paul B. Umbanhowar +1
Mixing by cutting-and-shuffling can be mathematically described by the dynamics of piecewise isometries (PWIs), higher dimensional analogs of one-dimensional interval exchange tran…
math.DS2018
Cutting and shuffling a hemisphere: non-orthogonal axes
Thomas F. Lynn, Lachlan D. Smith, Julio M. Ottino +2
We examine the dynamics of cutting-and-shuffling a hemispherical shell driven by alternate rotation about two horizontal axes using the framework of piecewise isometry (PWI) theory…